Find the equation of the line that passes through the points: (-3, 3) and (3, -1)

Q: (a) Sketch a graph of a function f such that: f'>0 and f" 0 and f" > 0, for x > 3. (b) Does the…

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Q: Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife…

A: Every salad and every dessert should be considered as a different dish here.

Q: 25. The graph of y g(x) shown below is the transformation image of the graph of y = log,x. Kendra…

A: Given graph of function is

Q: 3- Use improved Euler Method to find y(1.4) if ya) = for xy' + 3y = x Take h = 0.2 Ans, when x = 1.4…

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Q: we have 1529 MOD 83 = 2 Find the inverse to 2 by using the Euclid's algorithm

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Q: Use a truth table to show the following equivalence: ~ (~p^q) ^ (p V q) = p

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Q: 2 4 -2 -1 W = span({ 0 }) -1 -2 (a) Find a basis B for W. (c) Write down the dimension of W.

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Q: dz Suppose z is a function of x and y, and tan vy? + x² = z*e®v. Solve for dz and dy

A: The given function is                                  tan y2+x2=zxe6y

Q: 11. Let V be an inner product space and let B1, ..., B, be any independent vectors in V. The may…

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Q: Consider the function g defined by 1 g(x, y) = sin (7/æy) + log3(æ – 3y)' Do as indicated. 1.…

A: gx,y=sinπxy+1log3x−3y

Q: B. Use the facts in the table to solve each problem. Element Melting Point 1064.43°C 327.5°C Gold…

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Q: Work Problems Question 1. :) Find the intersection of the (a) (* paraboloids z=2+x²+y? and z=1+ 2r?+…

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Q: Solve the system using either of the three direct methods 1. a- 2y + 2z = 3 2x – 3y – z = -7 -* + 3y…

A: Given systems are solved using Gaussian Elimination Method.

Q: Find the intervals of concavity and inflection ints of f. Sketch the graph of f.

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Q: Consider the solid Q bounded by the surface of equation y = x² + z? and the planes zV3 = x , x = 0,…

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Q: 3). For the following linear system of first order ODES dx 2x + 4y + 3z dt dy — 4х — 6у — 3г dt dz…

A: i) The coefficient matrix A of the system is  A = 243-4-6-3331 Hence the eigenvalues of A are…

Q: 10.Solve the given (matrix) linear system: 1 21 [1 X' 13 %3D

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Q: particular very sm alue of gross regionald n a

A: Given in a particular very small region, the consumer price index, C, depends on the currentvalue of…

Q: Find the subspace generated by the vectors A= (2,1,-5), B= (4,3,7) %3D %3D So in space R³

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Q: if 0<a < 2 (2 ) if !<«<1 if 0 <x<1 if x 0 na fn (x) n-2 < x<1 2 x and f(x) 0. ISn (x) – f (x)|

A: Follow the steps.

Q: 3 6 Work Problem 3 ( ): v1 = 0 | v2 =|0 |2 vectors from %3D R. (a) ['.Determine if the vectors {v1,…

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Q: d. Find the vertical shift. e. Write down the equation of the function for the depth of the water…

A: The vertical shift, equation of the function for the depth of the water in terms of m and h are…

Q: 6. You want to find the dimensions of the rectangle with the largest area that can be inscribed in…

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Q: Find the inverse to 2 by using the Euclid's algorithm  2 mod

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Q: Let V be the space spanned by f 1 = sin x and f2 = cos x. (a) Show that gi = 2sin x + cos x and g2 =…

A: Here we use the definition of basis of vector space is the smallest linearly independent set…

Q: 2) Consider a bicyclist whose position s(t), in feet, is given by the table where t is in seconds. t…

A: The velocity of bicycle is represented by the derivative of st with respect to t.

Q: Evaluate the integral (xy + xy²) dx + (2x² + x²y) dy over the curve C, defined by going in a…

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Q: Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

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Q: 3. If we have 80 (identical) tennis balls and 20 identical bags to place them in, how many ways are…

A: Given: We have 80 tennis balls and 20 bags that are identical. Under the following circumstances, we…

Q: Q1: For the given matrix A, find (a) The rank of the matrix A, (b) a basis for the row space (c) a…

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: Given the function f(z,y) =-2 z + 5 y on the convex region defined by R= {(z,y) : 6z + 3y 0,y > 0}…

A: A function has maximum or minimum values at the vertices of a convex region. Hence we need to find…

Q: Paola's Typing 3200 2400 1600 800 20 40 60 Number of Minutes Which statement about the relationship…

A: Answer is B. Number of words is a dependent quantity as it depends on number of minutes.

Q: Solve the system using either of the three direct methods 1. * - 2y + 2z 3 2x – 3y - z = -7 -x + 3y…

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Q: A certain college graduate borrows 8391 dollars to buy a car. The lender charges interest at an…

A: given Bt=8391 at t=0 rate of interest τ=13%   =0.13 payment rate =k at time 7 years  B7=0 now,…

Q: Find the volume of the solid under the plane z = 3x + y and above the region determ

A: Given the plane                       z=3x+y and                y=x7,  and   y=x

Q: 14. Consider z as a function of the variables x, and which is defined by = In(x"y*) + and be P (-1,…

A: The function x is given as  z=ln(x10y8)+y2x4and point P(-1,1) . we have vectors  u=(α,β)  , w= (α,…

Q: 1. f(x) = e² and g(x) = -e + 2.7

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: h. Describe one possible grand prize turn. What can you say about the values of the two spins? 3 6.…

A: It is given that we have a spinning wheel which has 9 sectors. We need to determine the case or…

Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…

A: If is a bounded rectangle or simple region in the plane defined by and also by  andis a nonnegative…

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: How would you create a parallel line that passes through a given point using rotation?

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Q: 15'C -15°C 26'C Non-Routine Problems Involving Temperature em. d the afternoon sun. The room…

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Q: Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves…

A: The Fourier Cosine Integral is given by f(x)=∫-∞∞A(w) cos(wx) dw  where A(w)=2π∫-∞∞f(t) cos(wt) dt

Q: f(t) = t(1 – t), on 0<t< 1 a) Find the Fourier Sine Series expansion and the Fourier Cosine Series…

A: Please check the expression of series. For Fourier sine series f has been extended to an odd…

Q: Solve the initial value problem (3+x²)y" + 4y = 0, y(0) = 0, y (0) = 12. If the solution is y = co +…

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Q: 1 -5e iwt dt + -jwt | 5e -jwt dt -1

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: Find the sum of the serles 75 (b) (a) (d) None of the above

A: Sum of the series